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Simplifying 8x + 65 = 3x + 30 Reorder the terms: 65 + 8x = 3x + 30 Reorder the terms: 65 + 8x = 30 + 3x Solving 65 + 8x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 65 + 8x + -3x = 30 + 3x + -3x Combine like terms: 8x + -3x = 5x 65 + 5x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 65 + 5x = 30 + 0 65 + 5x = 30 Add '-65' to each side of the equation. 65 + -65 + 5x = 30 + -65 Combine like terms: 65 + -65 = 0 0 + 5x = 30 + -65 5x = 30 + -65 Combine like terms: 30 + -65 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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